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Tag Archives: bar
The chocolate bar game: variants
Remember the chocolate bar game? Today I want to talk about some variants. Recall that the losing positions for the chocolate bar game can be visualized like this: What if we specify that you win if you end with a … Continue reading →
The chocolate bar game: losing positions proved
In my last post I claimed that the losing positions for the chocolate bar game are precisely those of the form (or the reverse), that is, in binary, positions where one coordinate is the same as the other with any … Continue reading →
The chocolate bar game: losing positions characterized
The evident pattern from my last post is that losing positions in the chocolate bar game appear to be characterized by those where the binary expansion of is the same as the binary expansion of with any number (including zero) … Continue reading →
The chocolate bar game: losing positions in binary
Recall the chocolate bar game from my last post, whose winning and losing positions can be visualized like this: Here’s a list of some losing positions on or above the main diagonal (dark blue squares in the above picture), ordered … Continue reading →
The chocolate bar game
Suppose there is an rectangle. I like to think of it as one of those bars of chocolate made up of squares: Two players take turns. On a player’s turn, she must break the chocolate bar along any one of … Continue reading →
Posted in games, pattern, pictures

Tagged bar, chocolate, game, nim, strategy, visualization

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